95279715962352 has 320 divisors, whose sum is σ = 299050116710400. Its totient is φ = 28914522255360.

The previous prime is 95279715962339. The next prime is 95279715962363. The reversal of 95279715962352 is 25326951797259.

95279715962352 is a `hidden beast` number, since 9 + 5 + 2 + 7 + 9 + 7 + 1 + 596 + 23 + 5 + 2 = 666.

95279715962352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516477393 + ... + 516661839.

It is an arithmetic number, because the mean of its divisors is an integer number (934531614720).

Almost surely, 2^{95279715962352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95279715962352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149525058355200).

95279715962352 is an abundant number, since it is smaller than the sum of its proper divisors (203770400748048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95279715962352 is a wasteful number, since it uses less digits than its factorization.

95279715962352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186781 (or 186769 counting only the distinct ones).

The product of its digits is 642978000, while the sum is 72.

The spelling of 95279715962352 in words is "ninety-five trillion, two hundred seventy-nine billion, seven hundred fifteen million, nine hundred sixty-two thousand, three hundred fifty-two".